I wish to transform my diff. eq.(adsbygoogle = window.adsbygoogle || []).push({});

(1/r)*(dy/dr)*(d2/dr2(r*y))*dr into a more convenient expression, in a similar to the following transformation:

(dy/dx)*(d2y/dx2)*dx = 0.5*(d/dx(dy/dx)^2)*dx

which is a very convenient expression for integration ==> 0.5* (dy/dx)^2

So far, I have found the following expression, to which I haven't found the integration answer.

(1/(2*x^4)*(d/dx(x^2*dy/dx)^2)

I would appreciate your help

tbk1

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Ordinary diff. eq

**Physics Forums | Science Articles, Homework Help, Discussion**